Writing Expressions for compound statements

Let us discuss about writing Expressions for compound statements

Example : 1 less than the difference of 9 and a number k

Take second part ( bold portion) of the statement, write the expression for it.

1 less than ( k - 9) , now write the expression for this .

(k – 9 ) – 1 = k – 9 – 1 is the expression

practice: Express each phrase as an algebraic expression

14 times the sum of a number y and 6

17 more than the quotient of 6 and a number n

18 plus a number z increased by 8

8 less than 25 multiplied by a number q

7 more than the quotient of 26 and a number d

5 times the sum of a number u and 15

3 times the quotient of 39 and a number n

4 times the sum of a number t and 46

Answers:
14 * (y + 6)
17 + ( 6 / n )
18 + ( z + 8 )
(25 * q ) - 8
7 + ( 26 / d )
5 * ( u + 15)
3 * (39 / n )
4 * ( t + 46 )


Problem : Alex present age is “y” years.

a . What will be his age 5 years from now

b. What was his age 3 years back

c. Alex’s Mother’s age is 4 times his age

d. His Father is 5 years older than Mother

Answer :
y + 5
y - 3
4 * y
5 + (4 * y)

Problem : Let price of sugar per kg be $p,

Write the expression

A . Price of wheat per kg is $ 5 less than price of sugar per kg

B . Price of Ghee per kg is $ 5 times price of sugar per kg

Answers
A. p - 5
B. 5 * p